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A First Course in Sobolev Spaces
Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the ...
Modern Methods in the Calculus of Variations
This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, w...
Italian Violin Music of the Seventeenth Century
"The emergence of pieces designated for specific instruments marked a significant change in musical practice. The celebrated musicologist Willi Apel discusses virtually all the surviving printed works from the seventeenth century that are intended for the violin. He describes the music of some sixty Italian composers of this period, detailing the individual innovative aspects of the pieces, their form, and issues of performance practice." --
The English Virtuoso
This study aims to overturn 20th-century criticism that cast the English virtuosi of the 17th and early 18th centuries as misguided dabblers, arguing that they were erudite individuals with solid grounding in the classics, deep appreciation for the arts and sincere curiosity about the natural world.
Narrating Architecture
This anthology brings together the best and most interesting papers from the first ten years of The Journal of Architecture, published together for the first time in a single volume. Covering a wide range of topics of central importance to architecture today, the papers also address the related topics to which architecture and architectural studies are inextricably linked. The invited authors draw on sociology, philosophy, cultural studies and the sciences to round out the collection and highlight the breadth and vitality of modern architectural studies, offering perspectives from different disciplines as well as different corners of the globe.
Álvaro Siza
The aim of the collection is to offer a series of short monographs which, though brief, nevertheless deal with all aspects of the master's personality: works, constructed or otherwise, primary written sources, critiques and photographic interpretations.
Souto de Moura
"I look beyond solution; I look for an expression."--Eduardo Souto de Moura The architect Eduardo Souto de Moura (b. 1952) has won many accolades, including the 2011 Pritzker Architecture Prize. Based in Porto, Souto de Moura studied under Fernando Távora and worked under fellow Portuguese architect Álvaro Siza, with whom he continues to collaborate. Souto de Moura established his own practice in 1980, and his wide-ranging influences, including Mies van der Rohe and Donald Judd, can be seen in the stunning variety of his work, from his acclaimed private houses, to the striking Paula Rego Museum in Cascais and the Braga Municipal Stadium, to his work in historical contexts such as the Convento das Bernardas in Tavira. This beautifully illustrated retrospective provides the most comprehensive account of Souto de Moura's career to date. Drawings, notes and sketches from his archive, and newly commissioned photographs complement essays by scholars and prominent architects that trace Souto de Moura's career, contextualize his work within the larger trends of contemporary international architectural culture, and highlight the originality of his design strategy.
Ordinary Differential Equations
This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations. It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the plane. The emphasis is primarily on results and methods that allow one to analyze qualitative properties of the solutions without solving the equations explicitly. The text includes numerous examples that illustrate in detail the new concepts and results as well as exercises at the end of each chapter. The book is also intended to serve as a bridge to important topics that are often left out of a course on ordinary differential equations. In particular, it provides brief introductions to bifurcation theory, center manifolds, normal forms and Hamiltonian systems.
